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15
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Extending a function to the profinite completion of the integers

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#profinite-groups
395
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If $G$ is profinite, and $A$ is discrete, $f: G \to A$ is continuous $\implies$ $f$ factors through a normal open subgroup

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#topological-groups #profinite-groups
153
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Profinite group, and why the product of subgroups is closed

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#abstract-algebra #group-theory #profinite-groups
102
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Index of a common normal core

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#group-theory #normal-subgroups #finitely-generated #infinite-groups #profinite-groups
58
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Direct limit of $L^2$ spaces

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#measure-theory #profinite-groups
129
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Why is the Hausdorff property mentioned in the characterization of profinite groups?

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#group-theory #topological-groups #profinite-groups
398
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What is the profinite completion of a free abelian group of infinite rank?

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#group-theory #topological-groups #profinite-groups
166
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Bound on the Number of Normal Subgroups of Index $n$

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#group-theory #profinite-groups #subgroup-growth
46
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Open subgroup of $Gal(k_s| k)$

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#abstract-algebra #galois-theory #profinite-groups
115
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Extension of surface group by cyclic is residually finite

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#abstract-algebra #fundamental-groups #profinite-groups #group-extensions
249
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$p$-completion is pro-$p$ free

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#abstract-algebra #group-theory #free-groups #group-presentation #profinite-groups
86
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Why is $g \mapsto (gU)$ onto the profinite completion?

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#abstract-algebra #profinite-groups
46
Views

Is this proof that $\widehat{G_p}$ is pro-$p$ free correct?

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#proof-verification #fundamental-groups #group-presentation #profinite-groups #frattini-subgroup
836
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Direct proof that closed subgroups of profinite groups are profinite

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#topological-groups #profinite-groups
70
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finiteness of an abelian topological group

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#group-theory #lie-groups #abelian-groups #topological-groups #profinite-groups

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